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Finding the Fourth Proportional to 17,857.59, 24,642.93 and 9,899.34

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Solution

The fourth proportional to 17,857.59, 24,642.93 and 9,899.34 is: 13,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.59 : 24,642.93 = 9,899.34 : x
  2. Step 2: Convert to fraction form
    17,857.59/24,642.93 = 9,899.34/x
  3. Step 3: Cross multiply
    17,857.59x = 24,642.93 × 9,899.34
  4. Step 4: Simplify right side
    17,857.59x = 243,948,742.67
  5. Step 5: Solve for x
    x = 243,948,742.67/17,857.59
  6. Step 6: Final answer
    x = 13,660.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.